73.15.11 problem 22.5 (a)

Internal problem ID [15442]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 22. Method of undetermined coefficients. Additional exercises page 412
Problem number : 22.5 (a)
Date solved : Tuesday, January 28, 2025 at 07:55:53 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-3 y^{\prime }-10 y&=-200 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 23

dsolve(diff(y(x),x$2)-3*diff(y(x),x)-10*y(x)=-200,y(x), singsol=all)
 

\[ y = \left ({\mathrm e}^{7 x} c_{2} +20 \,{\mathrm e}^{2 x}+c_{1} \right ) {\mathrm e}^{-2 x} \]

✓ Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 23

DSolve[D[y[x],{x,2}]-3*D[y[x],x]-10*y[x]==-200,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{-2 x}+c_2 e^{5 x}+20 \]